Problem # Calculate the matrix representation of the operators L,,L.,L,and L, in case l = 1 Hint : (I'm'lL_|tm) = n/?(e + 1) – m(m ± 1)(l'm' | Im,) = h/2– m(m ± 1)8, 8m² m+1 And 1, =, L. +L_ L, : 2 L, - L. Ly = 2i
Problem # Calculate the matrix representation of the operators L,,L.,L,and L, in case l = 1 Hint : (I'm'lL_|tm) = n/?(e + 1) – m(m ± 1)(l'm' | Im,) = h/2– m(m ± 1)8, 8m² m+1 And 1, =, L. +L_ L, : 2 L, - L. Ly = 2i
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Transcribed Image Text:Problem #
Calculate the matrix representation of the operators L,L_,L̟and L, in case l = 1
Hint :
(I'm'|L|Im) = h/e(e + 1) – m(m ± 1)(l'm' | Im)
= ħ/2 – m(m ± 1)8, 8m'.m+1
And
L, +L-
L, -L.
Ly
2
2i
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